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cs.LO2024
Tableaux for Automated Reasoning in Dependently-Typed Higher-Order Logic (Extended Version)
Johannes Niederhauser, Chad E. Brown, Cezary Kaliszyk
Dependent type theory gives an expressive type system facilitating succinct formalizations of mathematical concepts. In practice, it is mainly used for interactive theorem proving…
cs.LO2024
Experiments with Choice in Dependently-Typed Higher-Order Logic
Daniel Ranalter, Chad E. Brown, Cezary Kaliszyk
Recently an extension to higher-order logic -- called DHOL -- was introduced, enriching the language with dependent types, and creating a powerful extensional type theory. In this…